3+8(x-2)=20-5(x+7)

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Solution for 3+8(x-2)=20-5(x+7) equation:


Simplifying
3 + 8(x + -2) = 20 + -5(x + 7)

Reorder the terms:
3 + 8(-2 + x) = 20 + -5(x + 7)
3 + (-2 * 8 + x * 8) = 20 + -5(x + 7)
3 + (-16 + 8x) = 20 + -5(x + 7)

Combine like terms: 3 + -16 = -13
-13 + 8x = 20 + -5(x + 7)

Reorder the terms:
-13 + 8x = 20 + -5(7 + x)
-13 + 8x = 20 + (7 * -5 + x * -5)
-13 + 8x = 20 + (-35 + -5x)

Combine like terms: 20 + -35 = -15
-13 + 8x = -15 + -5x

Solving
-13 + 8x = -15 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
-13 + 8x + 5x = -15 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-13 + 13x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 13x = -15 + 0
-13 + 13x = -15

Add '13' to each side of the equation.
-13 + 13 + 13x = -15 + 13

Combine like terms: -13 + 13 = 0
0 + 13x = -15 + 13
13x = -15 + 13

Combine like terms: -15 + 13 = -2
13x = -2

Divide each side by '13'.
x = -0.1538461538

Simplifying
x = -0.1538461538

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